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Danielle baked macaroni for her children for which she used up 19 th of a jug of milk. She also poured 20.5 ounces of milk into a bowl of cornflakes. If 25.5 ounces of milk remain in the jug, how much milk did the jug originally contain?

Respuesta :

Answer: 48.6

Step-by-step explanation: add 20.5 and 25.5 (which equals 46) to make \frac{18}{19\\} of the jug. Next divide 46 by 18 to find 1/19, which equals 2.6 (rounded). Finally add 46 and 2.6, which equals 48.6

Answer:

Milk in the jug was 48.56 ounces.

Step-by-step explanation:

Let the amount of milk in the jug = x ounces

Danielle used [tex]\frac{1}{19}[/tex] of the jug of milk so remaining milk in the jug = [tex]x-\frac{x}{19}[/tex]

= [tex]\frac{18x}{19}[/tex]

She poured 20.5 ounces of milk into a bowl of cornflakes.

So the milk remaining in the jug = [tex]\frac{18x}{19}-20.5[/tex]

If the remaining milk in the jug is 25.5 ounces ten we have to calculate the amount of milk the jug originally contained.

25.5 = [tex]\frac{18x}{19}-20.5[/tex]

[tex]\frac{18x}{19}=25.5+20.5[/tex]

[tex]\frac{18x}{19}=46[/tex]

[tex]x=\frac{46\times 19}{18}[/tex]

x = 48.56 ounces

Milk in the jug was 48.56 ounces.